LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

Existence and multiplicity of nontrivial solutions of biharmonic equations via differential inclusion

Photo by p1mm1 from unsplash

This paper is concerned with a class of biharmonic elliptic differential inclusion in \begin{document}$ \mathbb R^N $\end{document} . Under various growth conditions on the nonlinearity, new results on existence and… Click to show full abstract

This paper is concerned with a class of biharmonic elliptic differential inclusion in \begin{document}$ \mathbb R^N $\end{document} . Under various growth conditions on the nonlinearity, new results on existence and multiplicity of solutions are derived. The main tools used in this paper are the nonsmooth version of mountain pass theorem and the generalized gradient for locally Lipschitz functionals.

Keywords: differential inclusion; nontrivial solutions; solutions biharmonic; multiplicity nontrivial; existence multiplicity

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2020

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.